A Discrete Mathematics student comes from the village of BALLYBILLYBARRY. As an hilarious jape, on the way home from a late-night study session, she decides to rearrange the letters on one of the sign-posts.
How many arrangements of the letters in BALLYBILLYBARRY are possible?
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Of these arrangements, how many have all the L’s together?
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Of these arrangements, how may have all the letters in alphabetical order?
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You can earn partial credit on this problem.